Continued: Departure leaves another big hole for Twins to fill

Nathan's situation is more pressing because he's a free agent after the season. At $6 million, Nathan is a steal -- Mariano Rivera re-signed with the Yankees this week for $45 million over three years -- and though Nathan likes the area and coaching staff, he won't be motivated to re-sign if the Twins don't add more talent.

"I think it's something every player wants to have a chance to go to Opening Day and know you have a chance to win and play in October," Nathan said. "If not, it will be a little harder [to stay]."